Question

Fill in the blank- if if two squares of side a CM are placed side by side then area of the resulting polygon will be _____.
Answer the question -
A rectangular piece of paper is 44 cm long and 20cm broad it is rolled along its length to form a cylinder find the volume of the cylinder so formed draw figure also

Answer 1

Answer:

$1)2 {a}^{2} \: sq-cm\\\\2) 1400 \: {cm}^{3}$

Step-by-step explanation:

if two squares of side a CM are placed side by side then area of the resulting polygon will be _____.

Ans: resultant polygon will be a rectangle, with length =2a

breadth = a

Area of rectangle =length×breadth

= 2a×a

$2 {a}^{2} \: sq-cm$

2) A rectangular piece of paper is 44cmlong and 20cm broad it is rolled along its length to form a cylinder find the volume of the cylinder so formed draw figure also.

Ans: on rolling along its length,breadth will become perimeter of base and top of Cylinder

Perimeter of circle= 2πr

$2\pi \: r = 20 \\ \\ r = \frac{20}{2\pi} \\ \\ r = \frac{10}{\pi}$

Volume of cylinder

$= \pi {r}^{2} h \\ \\ = \pi \times \frac{10}{\pi} \times \frac{10}{\pi} \times 44 \\ \\ = \frac{100 \times 7 \times 44}{22} \\ \\ = 100 \times 7 \times 2 \\ \\ = 1400 \: {cm}^{3}$

Hope it helps you.

Answer 2

$1)2 {a}^{2} \: sq-cm\\\\2) 1400 \: {cm}^{3}$

Step-by-step explanation:

if two squares of side a CM are placed side by side then area of the resulting polygon will be _____.

Ans: resultant polygon will be a rectangle, with length =2a

breadth = a

Area of rectangle =length×breadth

= 2a×a

$2 {a}^{2} \: sq-cm$

2) A rectangular piece of paper is 44cmlong and 20cm broad it is rolled along its length to form a cylinder find the volume of the cylinder so formed draw figure also.

Ans: on rolling along its length,breadth will become perimeter of base and top of Cylinder

Perimeter of circle= 2πr

$2\pi \: r = 20 \\ \\ r = \frac{20}{2\pi} \\ \\ r = \frac{10}{\pi}$

Volume of cylinder

$= \pi {r}^{2} h \\ \\ = \pi \times \frac{10}{\pi} \times \frac{10}{\pi} \times 44 \\ \\ = \frac{100 \times 7 \times 44}{22} \\ \\ = 100 \times 7 \times 2 \\ \\ = 1400 \: {cm}^{3}$

Hope it helps you.